That's a question not a hypothesis.
The first step to answering it would be to come up with a past case in Earth's history that resembles what we are about to do to the atmosphere - namely a doubling or even tripling of CO2 levels in just 300 years.
No such example of that happening in the past is known to man. As far as we know this is the first time the planet is ever going to go through such an event.
And you haven't replace my hypothesis with the AGW Standard Hypothesis because...?
Because it's unknown what you are asking for. You want a hypothesis that there will be 2C warming by 2100? Or a hypothesis for how much warming a doubling of CO2 will cause? Or a hypothesis for what effect a doubling of CO2 will have on ocean pH? Or a hypothesis for what will happen to the southern US precipitation in a warmer world? Or a hypothesis for what will happen to arctic sea ice in a warmer world? Or a hypothesis for what will happen to certain plant species ranges in a warmer world?
There is no single hypothesis. There are a load of issues and loads of hypotheses for each one.
Yea it will get there eventually
And even if we did, it's still a trace element and in all of climate history has never LEAD and warming period.
It's never been given the chance to lead a warming period because in the past emissions of CO2 have been caused by rising temperature, making it impossible to determine causality.
This time we are pumping it directly out from the ground and into the atmosphere.
It doesn't matter that it's a trace element. Ozone is a trace element, far more scarcer than CO2 and yet without it in the atmosphere land animals, including humans, would fry to a crisp.
In any event, we've been warming for at least the past 14,000 years
The warming ended 10,000 years ago. Since then temperatures have fallen slightly.
The slightly flat/falling period covers all of recorded history and all of human civilization and agriculture. QUite a stable period in terms of global temperature just a slight decline and a few ups and downs. Look at the scale, more than 2C warming would take us off the top of the chart. While cooling would be a far more serious problem, going off the top of the chart is not a good idea either.